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Finding the Third Proportional to 849,490 and 1,824,916

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Solution

The third proportional to 849,490 and 1,824,916 is: 3,920,373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,490 : 1,824,916 = 1,824,916 : x
  2. Step 2: Convert to fraction form
    849,490/1,824,916 = 1,824,916/x
  3. Step 3: Cross multiply
    849,490x = 1,824,916 × 1,824,916
  4. Step 4: Simplify right side
    849,490x = 3,330,318,407,056
  5. Step 5: Solve for x
    x = 3,330,318,407,056/849,490
  6. Step 6: Final answer
    x = 3,920,373.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.